253890720 has 96 divisors (see below), whose sum is σ = 888632640. Its totient is φ = 67703040.

The previous prime is 253890719. The next prime is 253890731. The reversal of 253890720 is 27098352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25066 + ... + 33705.

It is an arithmetic number, because the mean of its divisors is an integer number (9256590).

Almost surely, 2^253890720 is an apocalyptic number.

253890720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253890720 is an abundant number, since it is smaller than the sum of its proper divisors (634741920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253890720 is a wasteful number, since it uses less digits than its factorization.

253890720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58795 (or 58781 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 253890720 is about 15933.9486631531. The cubic root of 253890720 is about 633.2117168757.

The spelling of 253890720 in words is "two hundred fifty-three million, eight hundred ninety thousand, seven hundred twenty".